Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays

[摘要] This paper addresses the conditions for robust stabilization of a class of uncertainswitched systems with delay. The system to be considered is autonomous and the statedelay is time-varying. Using Lyapunov functional approach, restriction on the derivativeof time-delay function is not required to design switching rule for the robust stabilizationof switched systems with time-varying delays. The delay-dependent stability conditionsare presented in terms of the solution of LMIs which can be solved by various availablealgorithms. A numerical example is given to illustrate the effectiveness of theoreticalresults.

[学科分类] 应用数学